610337025 has 81 divisors (see below), whose sum is σ = 1154083593. Its totient is φ = 320176800.

The previous prime is 610337003. The next prime is 610337027. The reversal of 610337025 is 520733016.

It is a happy number.

The square root of 610337025 is 24705.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 281132289 + 329204736 = 16767^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 610337025 - 2¹⁵ = 610304257 is a prime.

It is a super-2 number, since 2×610337025² = 745022568171701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 610337025.

It is not an unprimeable number, because it can be changed into a prime (610337027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10005495 + ... + 10005555.

Almost surely, 2^610337025 is an apocalyptic number.

610337025 is the 24705-th square number.

610337025 is the 12353-rd centered octagonal number.

It is an amenable number.

610337025 is a deficient number, since it is larger than the sum of its proper divisors (543746568).

610337025 is an frugal number, since it uses more digits than its factorization.

610337025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The cubic root of 610337025 is about 848.2487704814.

The spelling of 610337025 in words is "six hundred ten million, three hundred thirty-seven thousand, twenty-five".